Abstract
A theoretical equation for predicting velocity profiles in beds of rectangular geometry packed with equal-sized particles is presented. Use of this equation to predict velocity profiles requires the measurement of only one experimental variable. Predicted and measured velocity profiles in square and rectangular packed beds using a thermistor probe were in good agreement (±5 and ±10 pct respectively). For packings containing a range of sizes it was found that the velocity was greater at the wall and at the center of the bed than it was in the intermediate regions. This behavior, which has not been previously reported, is attributed to porosity variations. Results obtained from a slice model of a copper blast furnace indicate that in these furnaces there are two separate regions of flow. One of these has two components of velocity and the other has only one. In the single component flow region the velocity may be predicted by the theoretical equation presented. The implications of the results of this investigation to nonferrous blast furnaces are also discussed.
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Abbreviations
- A :
-
cross sectional area of empty duct
- B :
-
constant
- D e :
-
equivalent diameter
- H :
-
height above liquid bath of one component velocity region
- I o :
-
modified Bessel function of the first order
- L :
-
width of furnace at liquid bath
- P :
-
wetted perimeter
- R H :
-
hydraulic radius
- r :
-
radial position in the bed
- r e :
-
equivalent radius
- ř :
-
radius of outer edge of central core
- U :
-
local superficial gas velocity
- U o :
-
center line superficial gas velocity
- Û :
-
superficial gas velocity at the edge of the central core
- \(\overline V \) :
-
mean superficial gas velocity
- α:
-
Û/U o
References
V. I. Loginov:Steel and Coal 1963, June 14, p. 1154.
H. W. Hosking, W. O. Philbrook, and N. B. Melcher:Trans. TMS, AIME, 1959, vol. 215, p. 96.
T. Shimotsuma and K. Sano: “Study on Permeability in Blast Furnace,” Nippon Research Centre, Nippon Kokan K.K., Japan, 1967.
N. H. Zhavoronkov, M. E. Aerov, and M. M. Umnik:J. Phys. Chem. (Moscow), 1949, vol. 23, p. 342.
M. E. Aerov and M. M. Umnik:J. Appl. Chem. USSR, 1950, vol. 23, p. 1071.
K. Polthier:Archiv. Eisenhütten. 1966, vol. 37, p. 453.
M. Morales, C. W. Stinn, and J. M. Smith:Ind. Eng. Chem., 1951, vol. 43, p. 225.
C. E. Schwartz and J. M. Smith:Ind. Eng. Chem., 1953, vol. 45, p. 1209.
V. P. Dorweiler and R. W. Fahien:AIChE J., 1959, vol. 5, p. 139.
M. Collins: B.Ch.E. Thesis, Univ. of Delaware, 1958.
H. S. Mickley, D. A. Smith, and E. J. Korchak:Chem. Eng. Sci., 1965, vol. 20, p. 237.
J. Price: T.M. 332, Australian Atomic Energy Commission (A.A.E.C.) 1968.
J. Price:Instn. Engrs. Aust. Mech. and Chem. Eng. Trans., 1968, vol. MC4, p. 7.
G. G. Brown,et al.: “Unit Operations,” Wiley, New York, 1960.
P. S. Barna: “Fluid Mechanics for Engineers,” 3rd ed., 1969, Butterworth, Sydney.
S. Ergun:Chem. Eng. Progr., 1952, vol. 48, p. 89.
L. H. S. Roblee, R. M. Baird, and J. W. Tierney:AIChE J., 1958, vol. 4, p. 460.
R. F. Benenati and C. B. Brosilow:AIChE J., 1962, vol. 8, p. 359.
J. Price and J. R. Stevens: T.M. 354, A.A.E.C., 1966.
J. A. Becker, C. B. Green, and G. L. Pearson:Bell Syst. Tech. J., 1947, vol. 26, p. 170.
E. H. Blum and R. H. Wilhelm: AIChE-Inst. Chem. Eng. Symp. No. 4, June 13–17, 1965, London, p. 4/21.
M. M. Levine and J. Chernick:Nature (London), 1965, vol. 208, p. 69.
M. Kimura, K. Nono, and T. Koneda:Chem. Eng. (Japan), 1955, vol. 19, p. 397.
K.L. Smith and G. H. Roper:Aust. J. Chem. Eng., Aug, 1960, vol. 1, p. 5.
J. F. Elliott, R. A. Buchanan, and J. B. Wagstaff:Trans. AIME, 1952, vol. 194, p. 709.
R. Newell: M. Sc. Thesis, University of New South Wales, 1971.
A. I. Evdokimenko: “The Metallurgy of Non-Ferrous Metals,” Metallurgia Press, Moscow 1969.
K. C. McCutcheon:Blast Furnace and Steel Plants, October, 1969, p. 930.
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Newell, R., Standish, N. Velocity distribution in rectangular packed beds and non-ferrous blast furnaces. Metall Trans 4, 1851–1857 (1973). https://doi.org/10.1007/BF02665412
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DOI: https://doi.org/10.1007/BF02665412